Numerical study of a discrete projection method for rotating incompressible flows
Electronic transactions on numerical analysis, Tome 32 (2008), pp. 49-62.

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Summary: This paper presents a numerical analysis for complex 3D simulations of the Stirred Tank Reactor (STR) model by a modified discrete projection method (DPM) for rotating incompressible flow. For several prototypical configurations of the STR model, we examine the multigrid behavior for momentum and pressure Poisson subproblems for different values of the time step, the angular velocity, etc., and we give examples of the convergence behavior of the (outer) DPM scheme. For a prototypical application, we visualize the complex flow behavior by injecting sources of particle tracers into the obtained flow field to observe their mixing distribution.
Classification : 35Q30, 76D05, 76D07
Keywords: Navier-Stokes equations, coriolis force, discrete projection method, pressure Schur complement
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     author = {Sokolov, Andriy and Turek, Stefan and Olshanskii, Maxim A.},
     title = {Numerical study of a discrete projection method for rotating incompressible flows},
     journal = {Electronic transactions on numerical analysis},
     pages = {49--62},
     publisher = {mathdoc},
     volume = {32},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__32__a10/}
}
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Sokolov, Andriy; Turek, Stefan; Olshanskii, Maxim A. Numerical study of a discrete projection method for rotating incompressible flows. Electronic transactions on numerical analysis, Tome 32 (2008), pp. 49-62. http://geodesic.mathdoc.fr/item/ETNA_2008__32__a10/